Question

The lateral surface of a right circular
cylinder is 440 sq. cm and the perimeter
of the base is 110 cm. Find the height
and volume of the cylinder.​

Answer 1

Answer:

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Answer 2

Answer:

height of cylinder is 40cm

385cm^3 is the volume of cylinder

Step-by-step explanation:

perimeter of base = 2πr

110 = 2× 22/7 × r

11×7/44 = r

7/4 cm = radius.

now,

CSA of cylinder = 440cm^2

2πrh = 440

2π×7/4×h= 440

2πh = 440×4/7

πh = 440×4/7×2

πh = 440×4/14

πh = 220×4/7

h= 880/7×7/22

h =880/22

h=40cm is the answer

volume of cylinder = πr^2h

= π(7/4)^2×40

= 22/7 × 49/16 ×40

= 22×7/16×40

=. 22×35/2

=11×35

=385cm^3 is the answer